Answer:
-1/7
Step-by-step explanation:
make the 1/7 look like [tex]-\frac{1}{7}[/tex]
Answer:
-[tex]\frac{1}{7}[/tex] (- 1/7)
Step-by-step explanation:
Multiply:
(- 5/7 · 1)
5 - 5/7: 5
Divide:
- 5/7
5
- 1/7
--------------------------------------------
Have a great day/night.
The bill at a restaurant
is $37.52. Helen wants
to leave a 15% tip. If
Helen has $40, will she
have enough money to
pay the bill? Justify
your answer.
Show Work:
Answer:
no, she won't have enough money to pay the bill
Step-by-step explanation:
$37.52×15/100
=$5.63
therefore:$37.52 + $5.63
= $43.15
•she wont have enough money to pay the bill as her bill will be $43.15 and she has $40.
Is 8,397 divisible by 9? If it is, write the number as the product of 9 and another factor. If not, explain
Answer:
311 x 27 = 8397
Step-by-step explanation:
first find the factors of your number 8 397 by dividing continuously starting with the smallest value
8397/3 = 2799
2799/3 = 933
933/3 = 311
311/311 = 1
therefore 311 x (3 x3 x3) = 8397
311 x 27 = 8397
Problem 2: Use the Laplace Transforms to solve:
[tex]y'' - y' - 2y= 1 - x , \\ y(0) =y'(0) =1[/tex]
Using the given table of transforms,
[tex]L\left\{ y'' - y' - 2y \right\} = L\left\{ 1-x \right\}[/tex]
[tex](s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) - 2 Y(s) = \dfrac1s - \dfrac1{s^2}[/tex]
(where Y(s) is the Laplace transform of y(x))
Solve for Y(s) :
[tex](s^2 - s - 2) Y(s) - s = \dfrac1s - \dfrac1{s^2}[/tex]
[tex](s^2 - s - 2) Y(s) - s = \dfrac{s-1}{s^2}[/tex]
[tex](s^2 - s - 2) Y(s) = \dfrac{s-1}{s^2} + s[/tex]
[tex](s^2 - s - 2) Y(s) = \dfrac{s^3 + s - 1}{s^2}[/tex]
[tex]Y(s) = \dfrac{s^3 + s - 1}{s^2 (s^2 - s - 2)}[/tex]
[tex]Y(s) = \dfrac{s^3 + s - 1}{s^2 (s + 1) (s - 2)}[/tex]
Decompose the right side into partial fractions:
[tex]Y(s) = \dfrac as + \dfrac b{s^2} + \dfrac c{s+1} + \dfrac d{s-2}[/tex]
Solve for the coefficients.
[tex]\implies s^3 + s - 1 = as(s+1)(s-2) + b(s+1)(s-2) + cs^2(s-2) + ds^2(s+1)[/tex]
[tex]\implies s^3 + s - 1 = -2 b + (-2 a - b) s + (-a + b - 2 c + d) s^2 + (a + c + d) s^3[/tex]
[tex]\implies \begin{cases}-2b = -1 \\ -2a-b = 1 \\ -a+b-2c+d = 0 \\ a+c+d = 1 \end{cases} \implies a=-\dfrac34, b=\dfrac12, c=1, d=\dfrac34[/tex]
Then
[tex]Y(s) = -\dfrac34 \times \dfrac1s + \dfrac12 \times \dfrac1{s^2} + \dfrac1{s+1} + \dfrac34 \times\dfrac1{s-2}[/tex]
Take the inverse transform and solve for y(x) :
[tex]F(s) = \dfrac1s \implies f(x) = 1[/tex]
[tex]F(s) = \dfrac1{s^2} \implies f(x) = x[/tex]
Using the frequency-shifting property,
[tex]F(s) = \dfrac1{s+1} \implies f(x) = e^{-x}[/tex]
[tex]F(s) = \dfrac1{s-2} \implies f(x) = e^{2x}[/tex]
So, the particular solution to the ODE is
[tex]\boxed{y(x) = -\dfrac34 + \dfrac x2 + e^{-x} + \dfrac{3e^{2x}}4}[/tex]
Alfonso earned a score of 62.5% on his test. He did 20 problems correctly. How many problems were on the test?
Answer:
they were 32 problems because 20/32 is 62.5
A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.8 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally distributed with a mean of 19.3 in. and a standard deviation of 1.0 in. Use this information to answer the following questions.
What is the minimum table clearance required to satisfy the requirements of fitting 95% of men?
Using the normal distribution, it is found that the minimum table clearance required to satisfy the requirements of fitting 95% of men is of 23.6 in.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, for men's knee heights, we have that:
The mean is of [tex]\mu = 21.8[/tex].The standard deviation is of [tex]\sigma = 1.1[/tex].The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21.8}{1.1}[/tex]
[tex]X - 21.8 = 1.1(1.645)[/tex]
[tex]X = 23.6[/tex]
The minimum table clearance required to satisfy the requirements of fitting 95% of men is of 23.6 in.
More can be learned about the normal distribution at https://brainly.com/question/24663213
The ratio of dogs to cats is __3:4______. For every ________ dogs, there are ________ cats.
For every 3 dogs, there are 4 cats.
There are 4 cats and 3 dogs, so that means for every 3 dogs, there will be 4 cats.
For every ___3_____ dogs, there are _____4___ cats.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
ratio of dogs to cats = 3:4
which means there are 3 dogs per 4 cats.
Hence, there are 4 cats for every 3 dogs.
Learn more about ratio here:
brainly.com/question/13419413
#SPJ2
What is the value of
3/5 Divided 7/8
:
Answer:
3 7
- ÷ -
5 8
3 8
= - × -
5 7
24
24= ----
35
12000 is invested at a 10% rate compounded for 15years
Answer:
50126.978033
Step-by-step explanation:
12000(1.10)^15
12000 is your starting amount.
You earning 10% investment so add 1 to that 10% and make it a decimal = 1.10
Raise is to 15 years because it's compounded for 15 years.
Answer:
$88,292
Step-by-step explanation:
answer was asked to my teacher she told me it was that hope this helps you :)
BD is the perpendicular bisector of AC. What is the perimeter of AABC?
A. 5 cm
B. 9 cm
D 4 cm
C. 14 cm
D, 18 cm
Evaluate 1/3b+7/12 when b= 1/4 .
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Since we know that [tex]b=\frac{1}{4}[/tex], we can simply substitute [tex]\frac{1}{4}[/tex] for [tex]b[/tex] in the equation:
[tex]\frac{1}{3}b+\frac{7}{12}\\\frac{1}{3}(\frac{1}{4})+\frac{7}{12}\\[/tex]
To multiply fractions, simply multiply the numerators of the multipliers to find the numerator of the resultant, and multiply the denominators of the multipliers to find the denominator of the resultant. Therefore, we multiply 1 x 1, which is 1, and 3 x 4, which is 12. The resultant fraction for the operation of [tex]\frac{1}{3}(\frac{1}{4})[/tex] is [tex]\frac{1}{12}[/tex].
Now, we just need to add the remaining fractions:
[tex]\frac{1}{12}+\frac{7}{12}[/tex]
When adding fractions with the sane denominator, we simply add the numerators. The addition of the numerators in this case is 8, so:
[tex]\frac{1}{12}+\frac{7}{12}=\frac{8}{12}[/tex]
We can still simplify the fraction of [tex]\frac{8}{12}[/tex]. Both the numerator and the denominator are divisible by four, so divide them both by four to get the final, simplified fraction:
[tex]\frac{8}{12}=\frac{2}{3}[/tex]
Answer:
[tex]\frac{23}{12}[/tex]
Alternative forms:
[tex]1.916, 1\frac{11}{12}[/tex]
Step-by-step explanation:
Substitute b = 1/4 into 1/3b + 7/12 :
[tex]\begin{matrix}\underline{1}\\\underline{3}\\4\\\end{matrix}+\frac{7}{12}[/tex]
Calculate
[tex]\begin{matrix}\underline{1}\\\underline{3}\\4\\\end{matrix}+\frac{7}{12}[/tex]
Divide a fraction by multiplying its reciprocal
[tex]\frac{4}{3}+\frac{7}{12}[/tex]
Find common denominator and write the numerators above common denominator
[tex]\frac{4\times4}{3\times4}+\frac{7}{12}[/tex]
Calculate the product or quotient
[tex]\frac{16}{3\times4}+\frac{7}{12}[/tex]
[tex]\frac{16+7}{12}[/tex]
Calculate the sum or difference
[tex]\frac{23}{12}[/tex]
I hope this helps you
:)
which function matches the graph
(absolute value)
Answer:
f(x)=|x| or f(x)=sqrt(x^2)
Step-by-step explanation:
negatives reflected over x axis
Please help we are so confused
Answer:
160 dollars
Step-by-step explanation:
if its 10 less you just have to umm think its just adding (sorry i dont know how to explain)
The height of the tallest tower in a city is 800 feet. The height of the second tallest tower in the same city is 14% less than the tallest tower. The
height of the third tallest tower in the same city is 25% less than the height of the second tallest tower. What is the height of the third tallest
Answer:
the answer to that is 516
James says the fraction 3/4 has the same value as the expression 4 ÷ 3 . Use the drop-down menus to state whether you agree or not, and why. James is Correct or Incorrect A fraction can be interpreted as division of the Numerator or the Denominator by the Numerator or the denominator
Answer: James is incorrect in his statement i do not agree.
Step-by-step explanation: the fraction 3/4 is equivalent to 0.75 while 4 divided by 3 is 1.33333333.
Answer:
James is
incorrect√
. A fraction can be interpreted as the division of the
numerator is 1√
by the
denominator is 2√
Step-by-step explanation:
Fractions math help me pls and thanks !!!
Answer:
A
Step-by-step explanation:
All the other options have arrows at the ends. This means they continue forever. A segment starts and stops at points. Line A starts and stops at 2 points.
22+x≤40 The solution of the inequality is .
Answer:
Step-by-step explanation
[tex]\leq 40-22\\x\leq 18[/tex]
Hope that helps
It takes a snail 10 seconds to move 1 centimeter.
Answer:
you would still have 10 snles
Every property of a square is also a property of a rectangle. Is this true or false?
Answer:
False, every property of a square is not a property of a rectangle. Most of the properties of a square are also a property of a rectangle. If you square root the area of a square, you will get the side length of that square. If you square root the area of a rectangle, assuming the 4 sides of the rectangle are different, you will not get any of the correct dimensions.
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
simplify: 4/5 - 1/3
A. 3/15
B. 5/15
C. 7/15
D. 3/2
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3
multiply one side by 3 and the other by 5
12/15 - 5/15
7/15
ANSWER QUICKLY!!!!!!!!
Answer:
40°
Step-by-step explanation:
angle FIH =360°-152°-127°=360°-280°=80°
angle FGH = angleFIH ÷2 =40°
If A+B+C = then prove that: n sin A cos A + sin B cos B + sin C cos C=2 sin A sin B sin C
Answer:
Let a, b, c be the sides that oppose angles A, B, C, respectively. By the Law of Sines,
asinA=bsinB=csinC=d
where d is the circumdiameter of the triangle. If we conveniently scale the triangle so that d=1, then we can say simply that
a=sinAb=sinBc=sinC
This is a common simplification technique, as it nicely blurs the distinction between edges and angles, giving us things like this wonderfully-symmetric area formula:
Area=12abc(=12absinC=12acsinB=12bcsinA)
(When you have this mindset, you can't look at the expression "sinA+sinB+sinC" and not think, "That's perimeter!" ... and then you find yourself pursuing proof approaches like this one.) In what follows, I'll continue to use "a", "b", "c", because they're more compact than "sinA", etc, but you should read them as "sinA", etc.
What is 8/12=8/12= in simplest form
Answer:
The answer is 2/3
Step-by-step explanation:
8/12 = 4 × 2/4 × 3 = 3/2
Thus, The simplest form of 8/12 is 2/3
-TheUnknownScientist 72
3. Find the slope of the line that goes through the following points: (6.-1) and (-3, 11)
Answer:
1.33
Step-by-step explanation:
y2-y1/x2-x1
=11+1/-3-6
=12/-9
=-4/3
=1.33
Help me please ASAP !!!!!!!
Answer:
its A
PLS MARK AS BRAINLESS I MEAN BRAINLIEST :)
Step-by-step explanation:
Assume you earn $41,250 per year in take-home pay. Can you afford the house with a $625.95 per month total mortgage payment that you have been considering in the previous example?
how many calendars did the 1st and 2nd period classes sell on average per week?
Answer:
About 27 calendars per week
Step-by-step explanation:
I divided 60 by 7 because there are 7 days in and week and got 8.5 which I round up by 9. I did the same with 123 and got 17.5 which I round up to 18. By adding them together, they sell 27 averagely per week.
Gwen is building a fence around a square play area for her puppy. She wants the play area to be 256 feet squared. How many feet long should she build the play area
Answer:
64 feet of fencing needed
Step-by-step explanation:
sqrt(256)=16
16*4=64
Gwen need to build 64 feet of fencing around the square play ground.
What is a quadrilateral?
quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.
Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.
Here, it is given that Gwen wants a play ground squared shaped of 256 feet.
Firstly, Now let us find out the side of square a play ground to be fenced which will be :
a² = 256 feet²
a = √256
a = 16 feet
Now lets find the fencing length around a square play area for her puppy that will be equals to the 4 times of side of square that is :
perimeter of square fence = 4a
= 4x16
= 64 feet.
Therefore, Gwen need to build 64 feet of fencing around the square play ground.
check and know more about quadrilateral here :
https://brainly.com/question/18331758
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Find the surface area of rectangular prism
Which system of equations represents the matrix shown below?
7 2 0 9
-1 3 4 26
1 8 4. -32
Answer:
I don't know how to do it...
Answer:
167
Step-by-step explanation:
you take 134 divide by seven by both sides and then you can use a counculator for the rest
Helpppppppp ion know how to do this
Answer:
x = 34
Step-by-step explanation:
100 + 12 + x = 180
112 + x = 180
68/2 = 34
X = 34
Have an amazing day!
Please mark brainliest!